blueExisting work in control systems engineering typically restricts perturbations to a subset of nodes, typically the control nodes of a network [1]}, [2]} or nodes that translate biologically, e.g., pirin and WNT5A driven induction of an invasive phenotype in melanoma cells [3]}, [4]}, [5]}. The general case where perturbations are considered on the full set of nodes is less studied, with the exception of [6]}, even though it is relevant in contexts where control nodes are not available, or computationally intractable to obtain. Further, motivated by the biological properties found in various target states, different approaches perturb individual nodes' states in a PBN in order to either drive it to some attractor within a finite number of steps (horizon), or change the network's long-run behaviour by affecting its steady-state distribution (by increasing the mass probability of the target states).
